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Math Help - Divinding polynomials

  1. #1
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    Divinding polynomials

    I did not know where to put this topic.

    I am working doing long division on polynomials.

    I had
    ______________
    (x-2)|x^4-3x^2+4x-9

    I ended up with a remainder of -5. I was just wondering if someone could confirm if this is correct or not, because I can not tell if I have done it correct or not.

    EDIT: Actually I think I did do it wrong.....I got 3 as a remainder this time.
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  2. #2
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    Re: Divinding polynomials

    Quote Originally Posted by ehpoc View Post
    I did not know where to put this topic.

    I am working doing long division on polynomials.

    I had
    ______________
    (x-2)|x^4-3x^2+4x-9

    I ended up with a remainder of -5. I was just wondering if someone could confirm if this is correct or not, because I can not tell if I have done it correct or not.

    EDIT: Actually I think I did do it wrong.....I got 3 as a remainder this time.
    you can check it yourself using The Remainder Theorem
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  3. #3
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    Re: Divinding polynomials

    Quote Originally Posted by ehpoc View Post
    I did not know where to put this topic.

    I am working doing long division on polynomials.

    I had
    ______________
    (x-2)|x^4-3x^2+4x-9

    I ended up with a remainder of -5. I was just wondering if someone could confirm if this is correct or not, because I can not tell if I have done it correct or not.

    EDIT: Actually I think I did do it wrong.....I got 3 as a remainder this time.
    Yes, 3 is correct.

    x divides into x^4, x^3 times. x^3(x- 2)= x^4- 2x^3. x^4- 0x^3- 3x^2+ 4x- 9- (x^4- 2x^3)= 2x^3- 3x^2+ 4x- 9.

    x divides into 2x^3, 2x^2 times. 2x^2(x- 2)= 2x^3- 4x^2. 2x^3- 3x^2+ 4x- 9- (2x^3- 4x^2)= x^2+ 4x- 9.

    x divides into x^2, x times. x(x- 2)= x^2- 2x. x^2+ 4x- 9- (x^2- 2x)= 6x- 9.

    x divides into 6x, 6 times. 6(x- 2)= 6x- 12. 6x- 9- (6x- 12)= 3.
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  4. #4
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    Re: Divinding polynomials

    I have the polynomial x^3-13x+12 and am dividing it by (x-2). Using the remainder theorem I get...

    8-26+12=-6 Does this mean my remainder is -6 or 6? Or is it the same thing?
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